Search a number
-
+
20966216236 = 22723129311777
BaseRepresentation
bin10011100001101011…
…110001001000101100
32000010011122010202021
4103201223301020230
5320414322404421
613344242435524
71341363616600
oct234153611054
960104563667
1020966216236
118989978639
124091662ba4
131c91916814
14102c75b500
1582a9c7341
hex4e1af122c

20966216236 has 72 divisors (see below), whose sum is σ = 44212162176. Its totient is φ = 8665251840.

The previous prime is 20966216179. The next prime is 20966216239. The reversal of 20966216236 is 63261266902.

It is a junction number, because it is equal to n+sod(n) for n = 20966216192 and 20966216201.

It is not an unprimeable number, because it can be changed into a prime (20966216239) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1774380 + ... + 1786156.

It is an arithmetic number, because the mean of its divisors is an integer number (614057808).

Almost surely, 220966216236 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20966216236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22106081088).

20966216236 is an abundant number, since it is smaller than the sum of its proper divisors (23245945940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20966216236 is a wasteful number, since it uses less digits than its factorization.

20966216236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12119 (or 12110 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 43.

The spelling of 20966216236 in words is "twenty billion, nine hundred sixty-six million, two hundred sixteen thousand, two hundred thirty-six".

Divisors: 1 2 4 7 14 28 31 49 62 98 124 196 217 293 434 586 868 1172 1519 2051 3038 4102 6076 8204 9083 11777 14357 18166 23554 28714 36332 47108 57428 63581 82439 127162 164878 254324 329756 365087 445067 577073 730174 890134 1154146 1460348 1780268 2308292 2555609 3450661 5111218 6901322 10222436 13802644 17889263 24154627 35778526 48309254 71557052 96618508 106970491 169082389 213940982 338164778 427881964 676329556 748793437 1497586874 2995173748 5241554059 10483108118 20966216236